556032416 has 72 divisors (see below), whose sum is σ = 1167505920. Its totient is φ = 260620416.

The previous prime is 556032391. The next prime is 556032427. The reversal of 556032416 is 614230655.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466915 + ... + 1467293.

It is an arithmetic number, because the mean of its divisors is an integer number (16215360).

Almost surely, 2^556032416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556032416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

556032416 is an abundant number, since it is smaller than the sum of its proper divisors (611473504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

556032416 is a wasteful number, since it uses less digits than its factorization.

556032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 556032416 is about 23580.3396073933. The cubic root of 556032416 is about 822.3058319760.

The spelling of 556032416 in words is "five hundred fifty-six million, thirty-two thousand, four hundred sixteen".